clues for the graph of f(x)

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Calculus

12th

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8 Terms

1
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increasing
graph is going up
2
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decreasing
graph is going down
3
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relative maximum
top of a hill
4
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relative minimum
bottom of a valley
5
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critical points
relative maximums/minimums, sharp turns, or vertical tangents
6
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concave up
where the graph is cupped up (bowl)
7
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concave down
where the graph is cupped down (mountain)
8
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point of inflection
where the concavity changes (where the graph seems to level off, area between where it goes from hill to valley) or if the function goes from positive to negative (crosses the x-axis)